76867200 has 288 divisors, whose sum is σ = 292263660. Its totient is φ = 19169280.

The previous prime is 76867199. The next prime is 76867201. The reversal of 76867200 is 276867.

It is an interprime number because it is at equal distance from previous prime (76867199) and next prime (76867201).

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 46131264 = 5544^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76867201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489522 + ... + 489678.

Almost surely, 2^76867200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146131830).

76867200 is an abundant number, since it is smaller than the sum of its proper divisors (215396460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76867200 is a wasteful number, since it uses less digits than its factorization.

76867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76867200 is about 8767.3941396518. The cubic root of 76867200 is about 425.1873683638.

The spelling of 76867200 in words is "seventy-six million, eight hundred sixty-seven thousand, two hundred".